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Finding the Fourth Proportional to 706,526.82, 974,505.69 and 434,237.22

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Solution

The fourth proportional to 706,526.82, 974,505.69 and 434,237.22 is: 598,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,526.82 : 974,505.69 = 434,237.22 : x
  2. Step 2: Convert to fraction form
    706,526.82/974,505.69 = 434,237.22/x
  3. Step 3: Cross multiply
    706,526.82x = 974,505.69 × 434,237.22
  4. Step 4: Simplify right side
    706,526.82x = 423,166,641,699.78
  5. Step 5: Solve for x
    x = 423,166,641,699.78/706,526.82
  6. Step 6: Final answer
    x = 598,939.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.